Hierarchy of RG flows in 6d (1, 0) orbi-instantons
Abstract N M5-branes probing the intersection between the orbifold ℂ2 /ΓADE and an E 8 wall give rise to 6d (1, 0) SCFTs known as ADE-type orbi-instantons. At fixed N and order of the orbifold, each element of Hom(ΓADE , E 8) defines a different SCFT. The SCFTs are connected by Higgs branch RG flows...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2022)076 |
| _version_ | 1797860095169658880 |
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| author | Marco Fazzi Suvendu Giri |
| author_facet | Marco Fazzi Suvendu Giri |
| author_sort | Marco Fazzi |
| collection | DOAJ |
| description | Abstract N M5-branes probing the intersection between the orbifold ℂ2 /ΓADE and an E 8 wall give rise to 6d (1, 0) SCFTs known as ADE-type orbi-instantons. At fixed N and order of the orbifold, each element of Hom(ΓADE , E 8) defines a different SCFT. The SCFTs are connected by Higgs branch RG flows, which generically reduce the flavor symmetry of the UV fixed point. We determine the full hierarchy of these RG flows for type A, i.e. ℂ2 /ℤ k , for any value of N and k. The hierarchy takes the form of an intricate Hasse diagram: each node represents an IR orbi-instanton (homomorphism), and each edge an allowed flow, compatibly with the 6d a-theorem. The partial order is defined via quiver subtraction of the 3d magnetic quivers associated with the 6d SCFTs, which is equivalent to performing a so-called Kraft-Procesi transition between homomorphisms. |
| first_indexed | 2024-04-09T21:40:13Z |
| format | Article |
| id | doaj.art-8c82072f4a8c4400980f3b1fdecd9f68 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T21:40:13Z |
| publishDate | 2022-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8c82072f4a8c4400980f3b1fdecd9f682023-03-26T11:04:17ZengSpringerOpenJournal of High Energy Physics1029-84792022-12-0120221216810.1007/JHEP12(2022)076Hierarchy of RG flows in 6d (1, 0) orbi-instantonsMarco Fazzi0Suvendu Giri1Dipartimento di Fisica, Università di Milano-BicoccaDipartimento di Fisica, Università di Milano-BicoccaAbstract N M5-branes probing the intersection between the orbifold ℂ2 /ΓADE and an E 8 wall give rise to 6d (1, 0) SCFTs known as ADE-type orbi-instantons. At fixed N and order of the orbifold, each element of Hom(ΓADE , E 8) defines a different SCFT. The SCFTs are connected by Higgs branch RG flows, which generically reduce the flavor symmetry of the UV fixed point. We determine the full hierarchy of these RG flows for type A, i.e. ℂ2 /ℤ k , for any value of N and k. The hierarchy takes the form of an intricate Hasse diagram: each node represents an IR orbi-instanton (homomorphism), and each edge an allowed flow, compatibly with the 6d a-theorem. The partial order is defined via quiver subtraction of the 3d magnetic quivers associated with the 6d SCFTs, which is equivalent to performing a so-called Kraft-Procesi transition between homomorphisms.https://doi.org/10.1007/JHEP12(2022)076Brane Dynamics in Gauge TheoriesSupersymmetric Gauge TheoryConformal Field Models in String TheoryM-Theory |
| spellingShingle | Marco Fazzi Suvendu Giri Hierarchy of RG flows in 6d (1, 0) orbi-instantons Journal of High Energy Physics Brane Dynamics in Gauge Theories Supersymmetric Gauge Theory Conformal Field Models in String Theory M-Theory |
| title | Hierarchy of RG flows in 6d (1, 0) orbi-instantons |
| title_full | Hierarchy of RG flows in 6d (1, 0) orbi-instantons |
| title_fullStr | Hierarchy of RG flows in 6d (1, 0) orbi-instantons |
| title_full_unstemmed | Hierarchy of RG flows in 6d (1, 0) orbi-instantons |
| title_short | Hierarchy of RG flows in 6d (1, 0) orbi-instantons |
| title_sort | hierarchy of rg flows in 6d 1 0 orbi instantons |
| topic | Brane Dynamics in Gauge Theories Supersymmetric Gauge Theory Conformal Field Models in String Theory M-Theory |
| url | https://doi.org/10.1007/JHEP12(2022)076 |
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